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45462601400 = 2352435286349
BaseRepresentation
bin101010010101110010…
…000011111010111000
311100100100220102212212
4222111302003322320
51221101411221100
632515113154252
73166414510256
oct522562037270
9140310812785
1045462601400
111830a4a9357
1289893bb988
134396a00798
1422b3c8b5d6
1512b136a635
hexa95c83eb8

45462601400 has 48 divisors (see below), whose sum is σ = 108158721000. Its totient is φ = 17762129280.

The previous prime is 45462601391. The next prime is 45462601411. The reversal of 45462601400 is 410626454.

45462601400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2634575 + ... + 2651774.

Almost surely, 245462601400 is an apocalyptic number.

45462601400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45462601400 is an abundant number, since it is smaller than the sum of its proper divisors (62696119600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

45462601400 is a wasteful number, since it uses less digits than its factorization.

45462601400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5286408 (or 5286399 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The spelling of 45462601400 in words is "forty-five billion, four hundred sixty-two million, six hundred one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 43 50 86 100 172 200 215 344 430 860 1075 1720 2150 4300 8600 5286349 10572698 21145396 26431745 42290792 52863490 105726980 132158725 211453960 227313007 264317450 454626014 528634900 909252028 1057269800 1136565035 1818504056 2273130070 4546260140 5682825175 9092520280 11365650350 22731300700 45462601400